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laiz [17]
3 years ago
5

Answer this please. Thank you! Worth 10 points as well.

Mathematics
1 answer:
nlexa [21]3 years ago
3 0
The probability that the next 4 winners will all be 7th grade students is 3/4
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Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0
3 years ago
Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative Sta
Anna35 [415]

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property.  The distributive property is generally applicable to multiplication and is given as:

x(y+z)=xy+yz

The commutative property is given as:

x+y = y +a

Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.

6 0
3 years ago
Read 2 more answers
Louise begins factoring the polynomial, which has four terms.
ad-work [718]

Louise wants to factorize completely the given polynomial 4x^{3}+12x^{2}+5x+15

Grouping first, second terms together and third, fourth terms together

= 4x^{3}+12x^{2}+5x+15

Taking 4x^{2} common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

==4x^{2}(x+3)+5(x+3)

Taking (x+3) common from the given expression,

==(4x^{2}+5)(x+3) is the completely factored form.

5 0
3 years ago
Abby's score in a
mezya [45]

Answer: 5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How to simplify 5 to the power of 0​
Dennis_Churaev [7]

Answer:

1

Step-by-step explanation:

Any positive integer to power of 0 will ALWAYS be 1.

7 0
3 years ago
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